38724300 has 108 divisors (see below), whose sum is σ = 128569896. Its totient is φ = 9715200.

The previous prime is 38724293. The next prime is 38724307. The reversal of 38724300 is 342783.

38724300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38724293) and next prime (38724307).

It is not an unprimeable number, because it can be changed into a prime (38724307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14035 + ... + 16565.

It is an arithmetic number, because the mean of its divisors is an integer number (1190462).

Almost surely, 2^38724300 is an apocalyptic number.

38724300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38724300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64284948).

38724300 is an abundant number, since it is smaller than the sum of its proper divisors (89845596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38724300 is a wasteful number, since it uses less digits than its factorization.

38724300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38724300 is about 6222.8851829356. The cubic root of 38724300 is about 338.3201453009.

The spelling of 38724300 in words is "thirty-eight million, seven hundred twenty-four thousand, three hundred".